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In this paper we present a connection between the results obtained from a semiclassical study of a relativistic, two-body system, and the leptons masses. Some possible consequences are also discussed.

Nuclear Theory · Physics 2008-10-06 I. V. Grossu , C. Besliu

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Thibault Damour

The study of the dynamics of a two-body system in modified gravity constitutes a more complex problem than in Newtonian gravity. Numerical methods are typically needed to solve the equations of geodesics. Despite the complexity of the…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Mariafelicia De Laurentis , Ivan De Martino , Ruth Lazkoz

In a previous work [L.Delle Site, J.Phys.A 40, 2787 (2007)] the derivation of an analytic expression for the kinetic functional of a many-body electron system has been proposed. Though analytical, the formula is still non local…

Quantum Physics · Physics 2009-11-13 Luca M. Ghiringhelli , Luigi Delle Site

In this paper we develop an analytical model in order to study electromagnetic processes involving loosely bound neutron--rich and proton--rich nuclei. We construct a model wave function, to describe loosely bound few--body systems, having…

Nuclear Theory · Physics 2009-11-07 C. Forssen , N. B. Shulgina , M. V. Zhukov

It is known experimentally that stable few-body clusters containing negatively-charged electrons (e) and positively-charged holes (h) can exist in low-dimensional semiconductor nanostructures. In addition to the familiar exciton (e+h),…

Condensed Matter · Physics 2009-10-30 A. J. Markvardsen , N. F. Johnson

Excitonic effects play a particularly important role in the optoelectronic behavior of two-dimensional (2D) semiconductors. To facilitate the interpretation of experimental photoabsorption and photoluminescence spectra we provide…

Mesoscale and Nanoscale Physics · Physics 2018-01-04 M. Szyniszewski , E. Mostaani , N. D. Drummond , V. I. Fal'ko

Excitonic complexes in type-II quantum-ring heterostructures may be considered as artificial atoms due to the confinement of only one charge-carrier type in an artificial nucleus. Binding energies of excitons, trions, and biexcitons in…

Mesoscale and Nanoscale Physics · Physics 2019-03-08 David Thomas , Ryan Hunt , Neil Drummond , Manus Hayne

We investigate the survival of symmetries in a relativistic system of two mutually interacting bosons coupled with an external field, when this field is "strongly" translation invariant in some directions and additionally remains unchanged…

High Energy Physics - Theory · Physics 2009-07-24 Philippe Droz-Vincent

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm}$, excitons bound by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Bogdan Ganchev , Neil Drummond , Igor Aleiner , Vladimir Fal'ko

We give an overview of recent advances in analysis of equations of electrodynamics with the aid of biquaternionic technique. We discuss both models with constant and variable coefficients, integral representations of solutions, a numerical…

Mathematical Physics · Physics 2010-07-09 Kira V. Khmelnytskaya , Vladislav V. Kravchenko

We consider an interaction of charged bodies under the following simplified conditions: the distribution of charge over each body is stable; the interaction of bodies is governed by electrical forces only. Physically, these assumptions can…

Mathematical Physics · Physics 2012-07-06 A. A. Kolpakov , A. G. Kolpakov

The two-body problem with a central interaction on simply connected constant curvature spaces of an arbitrary dimension is considered. The explicit expression for the quantum two-body Hamiltonian via a radial differential operator and…

Mathematical Physics · Physics 2007-05-23 A. V. Shchepetilov , I. E. Stepanova

Excitonic effects play a particularly important role in the optoelectronic behavior of two-dimensional semiconductors. To facilitate the interpretation of experimental photoabsorption and photoluminescence spectra we provide (i)…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 E. Mostaani , M. Szyniszewski , C. H. Price , R. Maezono , M. Danovich , R. J. Hunt , N. D. Drummond , V. I. Fal'ko

We offer an analytical study on the dynamics of a two-body problem perturbed by small post-Newtonian relativistic term. We prove that, while the angular momentum is not conserved, the motion is planar. We also show that the energy is…

Solar and Stellar Astrophysics · Physics 2016-01-20 Elbaz. I. Abouelmagd , S. M Elshaboury , H. H. Selim

Three body systems where one of the bodies is ejected without escaping the binary system have previously been studied in various restricted forms. However, none of these studies dwells on the problem in a general setting. Thus, to study…

Chaotic Dynamics · Physics 2021-08-02 T. S. Sachin Venkatesh

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided…

High Energy Physics - Theory · Physics 2016-05-27 Philippe Droz-Vincent

We investigate in a simple model whether a Jastrow-based approach for a many-body system containing two-body interactions can be exact. By comparison with recent assertions to the contrary, we find that in general the exact wave function is…

Chemical Physics · Physics 2007-05-23 Niels R. Walet , R. F. Bishop

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Philippe Droz-Vincent

Excitons in two-dimensional semiconductors provide a novel platform for fundamental studies of many-body interactions. In particular, dipolar interactions between spatially indirect excitons may give rise to strongly correlated phases of…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Rafał Ołdziejewski , Alessio Chiocchetta , Johannes Knörzer , Richard Schmidt